Why dont i want to eat anymore?

my boyfrieend for 2 years just broke up with me like 4 days ago for another girl and i haven't been able to eat since then. i be so hungry i even haves hungry pains and my belly is always growling but when i go to eat i take a couple bite and i just dont want to eat anymore and start to feel sick like i want to throw up. could this be a sign of depression ?